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A general framework is given to analyze the falsifiability of economic models based on a sample of their observable components. It is shown that, when the restrictions implied by the economic theory are insufficient to identify the unknown…

Econometrics · Economics 2021-02-25 Ivar Ekeland , Alfred Galichon , Marc Henry

We study coupled transport in the nonequilibrium stationary state of a model consisting of independent random walkers, moving along a one-dimensional channel, which carry a conserved energy-like quantity, with density and temperature…

Statistical Mechanics · Physics 2009-08-11 Hernán Larralde , David P. Sanders

We review the research literature investigating systems in which mobile entities can carry data while they move. These entities can be either mobile by nature (e.g., human beings and animals) or mobile by design (e.g., trains, airplanes,…

Networking and Internet Architecture · Computer Science 2018-06-01 Benjamin Baron , Prométhée Spathis , Marcelo Dias de Amorim , Yannis Viniotis , Mostafa H. Ammar

A possible approach to description of the non equilibrium system has been proposed. Based on the Fokker-Plank equation in term of energy for non equilibrium distribution function of macroscopical system was obtained the stationary solution…

Statistical Mechanics · Physics 2008-08-08 Bohdan Lev

We numerically investigate the supercooled dynamics of two simple model liquids exploiting the partition of the multi-dimension configuration space in basins of attraction of the stationary points (inherent saddles) of the potential energy…

Disordered Systems and Neural Networks · Physics 2009-10-31 L. Angelani , R. Di Leonardo , G. Ruocco , A. Scala , F. Sciortino

The equilibrium configuration of an engineering structure, able to withstand a certain loading condition, is usually associated with a local minimum of the underlying potential energy. However, in the nonlinear context, there may be other…

Chaotic Dynamics · Physics 2019-02-04 Jun Zhong , Lawrence N. Virgin , Shane D. Ross

Depth-averaged systems of equations describing the motion of fluid-sediment mixtures have been widely adopted by scientists in pursuit of models that can predict the paths of dangerous overland flows of debris. As models have become…

Fluid Dynamics · Physics 2026-04-07 Jake Langham , Xiannan Meng , Jamie P. Webb , Chris G. Johnson , J. M. N. T. Gray

Taking into account the recent developments associated with duality in physics, this article is focused on investigating the properties of a tensor generalization of the electrodynamics dual to the standard vector model even considering the…

High Energy Physics - Theory · Physics 2024-03-19 G. B. de Gracia , B. M. Pimentel

We use the instantaneous normal mode approach to provide a description of the local curvature of the potential energy surface of a model for water. We focus on the region of the phase diagram in which the dynamics may be described by the…

Condensed Matter · Physics 2009-10-31 Emilia La Nave , Antonio Scala , Francis W. Starr , Francesco Sciortino , H. Eugene Stanley

The behavior of lattice models in which time reversibility is enforced at the level of trajectories (microscopic reversibility) is studied analytically. Conditions for ergodicity breaking are explored, and a few examples of systems…

Statistical Mechanics · Physics 2025-02-17 Piero Olla

Diffusive transport is a universal phenomenon, throughout both biological and physical sciences, and models of diffusion are routinely used to interrogate diffusion-driven processes. However, most models neglect to take into account the…

Quantitative Methods · Quantitative Biology 2015-10-28 Paul R. Taylor , Christian A. Yates , Matthew J. Simpson , Ruth E. Baker

Given two probability measures on sequential data, we investigate the transport problem with time-inconsistent preferences in a discrete-time setting. Motivating examples are nonlinear objectives, state-dependent costs, and regularized…

Optimization and Control · Mathematics 2025-06-23 Erhan Bayraktar , Bingyan Han

We show that the dynamics of simple disordered models, like the directed Trap Model and the Random Energy Model, takes place at a coexistence point between active and inactive dynamical phases. We relate the presence of a dynamic phase…

Statistical Mechanics · Physics 2008-09-03 Kristina Van Duijvendijk , Grégory Schehr , Frédéric Van Wijland

The paper provides consistent mathematical framework for seminal Tiebout free-mobility model (1956). Our setting supports continuum of consumers with multidimensional preferences and finite number of strategic public good providers. We…

Optimization and Control · Mathematics 2018-05-31 Alexey Savvateev , Constantine Sorokin , Shlomo Weber

Although coarse-grained models have been widely used to explain exotic phenomena in complex fluids, such as droplet formation in living cells, these conventional approaches often fail to capture the intricate microscopic degrees of freedom…

Soft Condensed Matter · Physics 2025-06-13 Masanari Shimada , Tetsuya J. Kobayashi

Non-equilibrium thermodynamics can provide strong advantages when compared to more standard equilibrium situations. Here, we present a general framework to study its application to concrete problems, which is valid also beyond the…

Quantum Physics · Physics 2023-03-16 Qiongyuan Wu , Matteo Carlesso

The theory of alternative stable states and tipping points has garnered substantial attention in the last several decades. It predicts potential critical transitions from one ecosystem state to a completely different state under increasing…

Pattern Formation and Solitons · Physics 2024-09-11 Swarnendu Banerjee , Mara Baudena , Paul Carter , Robbin Bastiaansen , Arjen Doelman , Max Rietkerk

We investigate classes of interacting systems that allow for a mapping to disordered noninteracting systems. As we show, such a mapping is possible for interacting systems with a suppressed density of states at the chemical potential,…

Mesoscale and Nanoscale Physics · Physics 2023-11-16 Shijun Sun , Sergey Syzranov

A process of energy transfer is demonstrated in non-equilibrium charged particle beams with anisotropy and space charge. Equipartitioning of energy between available degrees of freedom occurs in just a few betatron wavelengths, without halo…

Accelerator Physics · Physics 2007-05-23 R. A. Kishek , P. G. O'Shea , M. Reiser

Understanding under what conditions it is possible to construct equivalent ensembles is key to advancing our ability to connect microscopic and macroscopic properties of non-equilibrium statistical mechanics. In the case of fluid dynamical…